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- W121249980 abstract "This chapter investigates the inhomogeneous isotropic case and explores solutions for a few problems that exist in the literature. It focuses on formulation issues that allow the development of tractable boundary value problems and examines the effect of inhomogeneity on the resulting stress and displacement solution fields. By exploring closed-form solutions to a series of example problems, it is observed that in some cases inhomogeneity produces little effect, while in others significant and fundamentally different stress and displacement distributions will occur. Many materials have a spatially varying microstructure that leads to spatial variation in elastic properties and thus requires a nonhomogeneous model. For example, in geomechanics studies, rock and soil material will commonly have depth-dependent properties resulting from the overburden of material lying above a given point. Gradations in microstructure are also commonly found in biological cellular materials such as wood and bone where biological adaptation has distributed the strongest microstructure in regions that experience the highest stress." @default.
- W121249980 created "2016-06-24" @default.
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- W121249980 date "2009-01-01" @default.
- W121249980 modified "2023-09-24" @default.
- W121249980 title "Nonhomogeneous Elasticity" @default.
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- W121249980 doi "https://doi.org/10.1016/b978-0-12-374446-3.50018-2" @default.
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